Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 278 · 40 sums

The method (Find one first): Simplest form: divide both terms by their HCF — 12 : 18 = 2 : 3. Equal ratios: multiply (or divide) both terms by the same number — 3 : 4 = 15 : 20. a, b, c, d are in proportion when a × d = b × c. Unitary method: value of one = total ÷ number; then × the number you need. To share in a ratio 2 : 3, split into 2 + 3 = 5 equal parts.

1. 1.₹910 is shared between Priya and Pooja in the ratio 3 : 4. How many rupees does Pooja get?
2. 2.A train goes 120 km in 4 hours. At the same speed, how many km does it go in 2 hours?
3. 3.1 : 2 = 4 : ?
4. 4.A bus goes 320 km in 4 hours. At the same speed, how many km does it go in 6 hours?
5. 5.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
6. 6.A scooter goes 195 km in 3 hours. At the same speed, how many km does it go in 4 hours?
7. 7.Are 16, 18, 40 and 47 in proportion? (a) Yes (b) No
8. 8.A basket has 6 mangoes and 48 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 9 (b) 1 : 8 (c) 8 : 1 (d) 6 : 48
9. 9.₹360 is shared between Aarav and Aditya in the ratio 2 : 7. How many rupees does Aditya get?
10. 10.3 : 5 = ? : 35
11. 11.4 : 7 = 20 : ?
12. 12.If 9 pens cost ₹540, how many rupees do 5 pens cost?
13. 13.If 4 ice creams cost ₹24, how many rupees do 10 ice creams cost?
14. 14.2 : 5 = ? : 30
15. 15.2 : 3 = 6 : ?
16. 16.If 7 bus tickets cost ₹35, how many rupees do 3 bus tickets cost?
17. 17.2 : 7 = 16 : ?
18. 18.₹560 is shared between Aditya and Ananya in the ratio 3 : 5. How many rupees does Aditya get?
19. 19.Write the ratio 15 : 3 in its simplest form. (a) 5 : 1 (b) 15 : 3 (c) 1 : 5 (d) 6 : 2
20. 20.Write the ratio 7 : 42 in its simplest form. (a) 1 : 6 (b) 2 : 7 (c) 7 : 42 (d) 6 : 1
21. 21.Are 18, 48, 27 and 72 in proportion? (a) No (b) Yes
22. 22.Are 12, 27, 8 and 18 in proportion? (a) Yes (b) No
23. 23.Write the ratio 56 : 16 in its simplest form. (a) 7 : 2 (b) 56 : 16 (c) 8 : 3 (d) 2 : 7
24. 24.Are 12, 28, 27 and 63 in proportion? (a) No (b) Yes
25. 25.If 7 chocolates cost ₹84, how many rupees do 11 chocolates cost?
26. 26.Write the ratio 8 : 6 in its simplest form. (a) 3 : 4 (b) 8 : 6 (c) 5 : 4 (d) 4 : 3
27. 27.A car goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
28. 28.1 : 2 = ? : 10
29. 29.A team has 54 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 2 (b) 54 : 12 (c) 2 : 9 (d) 10 : 3
30. 30.A scooter goes 200 km in 4 hours. At the same speed, how many km does it go in 6 hours?
31. 31.₹130 is shared between Nisha and Isha in the ratio 6 : 7. How many rupees does Nisha get?
32. 32.A scooter goes 250 km in 5 hours. At the same speed, how many km does it go in 2 hours?
33. 33.1 : 8 = ? : 48
34. 34.Write the ratio 48 : 42 in its simplest form. (a) 8 : 7 (b) 48 : 42 (c) 7 : 8 (d) 9 : 8
35. 35.A basket has 24 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 24 : 40 (b) 4 : 6 (c) 5 : 3 (d) 3 : 5
36. 36.A scooter goes 200 km in 4 hours. At the same speed, how many km does it go in 8 hours?
37. 37.A bus goes 320 km in 4 hours. At the same speed, how many km does it go in 3 hours?
38. 38.A basket has 18 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 4 (b) 3 : 2 (c) 2 : 3 (d) 18 : 27
39. 39.1 : 8 = 8 : ?
40. 40.A class has 27 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 5 (b) 4 : 6 (c) 27 : 45 (d) 5 : 3

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